TY - JOUR
T1 - H∞ control for switched fuzzy systems via dynamic output feedback
T2 - Hybrid and switched approaches
AU - Xiang, Weiming
AU - Xiao, Jian
AU - Iqbal, Muhammad Naveed
N1 - Funding Information:
This work is supported by the National Natural Science Foundation of China ( 51177137 , 61134001 ).
PY - 2013/6
Y1 - 2013/6
N2 - Fuzzy T-S model has been proven to be a practical and effective way to deal with the analysis and synthesis problems for complex nonlinear systems. As for switched nonlinear system, describing its subsystems as fuzzy T-S models, namely switched fuzzy system, naturally is an alternative method to conventional control approaches. In this paper, the H∞ control problem for a class of switched fuzzy systems is addressed. Hybrid and switched design approaches are proposed with different availability of switching signal information at switching instant. The hybrid control strategy includes two parts: fuzzy controllers for subsystems and state updating controller at switching instant, and the switched control strategy contains the controllers for subsystems. It is demonstrated that the conservativeness is reduced by introducing the state updating behavior but its cost is an online prediction of switching signal. Numerical examples are given to illustrate the effectiveness of proposed approaches and compare the conservativeness of two approaches.
AB - Fuzzy T-S model has been proven to be a practical and effective way to deal with the analysis and synthesis problems for complex nonlinear systems. As for switched nonlinear system, describing its subsystems as fuzzy T-S models, namely switched fuzzy system, naturally is an alternative method to conventional control approaches. In this paper, the H∞ control problem for a class of switched fuzzy systems is addressed. Hybrid and switched design approaches are proposed with different availability of switching signal information at switching instant. The hybrid control strategy includes two parts: fuzzy controllers for subsystems and state updating controller at switching instant, and the switched control strategy contains the controllers for subsystems. It is demonstrated that the conservativeness is reduced by introducing the state updating behavior but its cost is an online prediction of switching signal. Numerical examples are given to illustrate the effectiveness of proposed approaches and compare the conservativeness of two approaches.
KW - Dynamic output feedback
KW - Hybrid control
KW - H∞ control
KW - Switched control
KW - Switched fuzzy system
UR - http://www.scopus.com/inward/record.url?scp=84872402265&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84872402265&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2012.10.003
DO - 10.1016/j.cnsns.2012.10.003
M3 - Article
AN - SCOPUS:84872402265
SN - 1007-5704
VL - 18
SP - 1499
EP - 1514
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 6
ER -